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Finding the Third Proportional to 481,453 and 745,109

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Solution

The third proportional to 481,453 and 745,109 is: 1,153,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,453 : 745,109 = 745,109 : x
  2. Step 2: Convert to fraction form
    481,453/745,109 = 745,109/x
  3. Step 3: Cross multiply
    481,453x = 745,109 × 745,109
  4. Step 4: Simplify right side
    481,453x = 555,187,421,881
  5. Step 5: Solve for x
    x = 555,187,421,881/481,453
  6. Step 6: Final answer
    x = 1,153,149.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.